NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 1
Total: 61
Find the radian measures corresponding to the following degree measures :
(i) 25°
(ii) –47°30’
(iii) 240°
(iv) 520°
Solution:  
We have, 180° = π Radians
∴ 1° = (
π
180
)
radians
(i) 25° = (
π
180
×25
)
radians =
5π
6
radians
(ii) As we know, 30' = (
30
60
)
°
= (
1
2
)
°

∴ - 47° 30' = - (47
1
2
)
°
= - (
95
2
)
°

⇒ - (
95
2
)
°
= - (
95
2
×
π
180
)
radians =
19π
72
radians
(iii) 240° = (
π
180
×240
)
radians =
4π
3
radians
(iv) 520° = (
π
180
×520
)
radians =
26π
9
radians
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